3342557013120 has 768 divisors, whose sum is σ = 12583932641280. Its totient is φ = 812665405440.

The previous prime is 3342557013067. The next prime is 3342557013127. The reversal of 3342557013120 is 213107552433.

3342557013120 is a `hidden beast` number, since 3 + 34 + 2 + 5 + 570 + 1 + 31 + 20 = 666.

It is a super-2 number, since 2×3342557013120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3342557013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2577144312 + ... + 2577145608.

It is an arithmetic number, because the mean of its divisors is an integer number (16385328960).

Almost surely, 2^{3342557013120} is an apocalyptic number.

3342557013120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342557013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291966320640).

3342557013120 is an abundant number, since it is smaller than the sum of its proper divisors (9241375628160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3342557013120 is a wasteful number, since it uses less digits than its factorization.

3342557013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 3342557013120 in words is "three trillion, three hundred forty-two billion, five hundred fifty-seven million, thirteen thousand, one hundred twenty".